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198483840 = 27325172027
BaseRepresentation
bin10111101010010…
…01111110000000
3111211111000122100
423311021332000
5401302440330
631410110400
74630041042
oct1365117600
9454430570
10198483840
11a2047935
125657b400
1332176179
141c509a92
151265a060
hexbd49f80

198483840 has 192 divisors, whose sum is σ = 726064560. Its totient is φ = 49790976.

The previous prime is 198483839. The next prime is 198483851. The reversal of 198483840 is 48384891.

198483840 is a `hidden beast` number, since 1 + 98 + 483 + 84 + 0 = 666.

198483840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1984838402 = 78791669482291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96907 + ... + 98933.

Almost surely, 2198483840 is an apocalyptic number.

198483840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363032280).

198483840 is an abundant number, since it is smaller than the sum of its proper divisors (527580720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198483840 is a wasteful number, since it uses less digits than its factorization.

198483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 198483840 is about 14088.4292949924. The cubic root of 198483840 is about 583.3220380579.

The spelling of 198483840 in words is "one hundred ninety-eight million, four hundred eighty-three thousand, eight hundred forty".